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**Unformatted text preview: **f with T = 1/f . Planets further from the sum travel slower and thus have a longer period T . Magnetism: For magnetic circular motion the force on the charged particle is equal its mass times the centripetal acceleration , a = v 2 /r , as follows: F B = qvB = mv 2 /r . Solving for the radius and speed gives, r = mv/(qB) = p/(qB) , and v = qBr/m . The period of the rotation is given by T = 2 r/v = 2 m/(qB) and is independent of the radius ! The frequency ( called the cyclotron frequency ) is given by f = 1/T= qB/(2 m) is the same for all particles with the same charge and mass ( = qB/m ) . M m v r v r B-in q...

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